Question

The value of (a+b)2-(a-b)2

Answer 1

Answer:

(a+b)²-(a-b)²

=a²+b²+2ab-a²-b²+2ab

=4ab

Step-by-step explanation:

HOPE IT HELPS YOU IF YES THEN PLZ MARK MY ANS AS BRAINLISTED FOLOW ME AND DELETE MY ALL 104 QUE

Answer 2

sᴏʟᴜᴛɪᴏɴ⤵️

Given:-evaluate (a+b)²-(a-b)²

To solve the sum we used the formula of 4ab

Formula of 4ab=(a+b)²-(a-b)²

so the your answer =4ab

but now we prove this

so,LHS=(a+b)²-(a-b)²

RHS=4ab

(a+b)²-(a-b)²

=a²+2ab+b²-(a²-2ab+b²)

=a²+2ab+b²-a²+2ab-b²

=2ab+2ab[cutting a² and b²]

=4ab=RHS[proved]

✯Identity✯

(x + y)2 = x2 + 2xy + y2

(x – y)2 = x2 – 2xy + y2

x2 – y2 = (x + y) (x – y)

(x + a) (x + b) = x2 + (a + b)x + ab.

(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx.

(x + y)3 = x3 + y3 + 3xy(x + y)

(x – y)3 = x3 – y3 – 3xy(x – y)

x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx)